101323321101 has 36 divisors (see below), whose sum is σ = 153881493948. Its totient is φ = 64237971072.

The previous prime is 101323321081. The next prime is 101323321109. The reversal of 101323321101 is 101123323101.

101323321101 is a `hidden beast` number, since 10 + 1 + 323 + 321 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78904248201 + 22419072900 = 280899^2 + 149730^2 .

It is not a de Polignac number, because 101323321101 - 2¹⁵ = 101323288333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323321109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762145 + ... + 885161.

It is an arithmetic number, because the mean of its divisors is an integer number (4274485943).

Almost surely, 2^101323321101 is an apocalyptic number.

It is an amenable number.

101323321101 is a deficient number, since it is larger than the sum of its proper divisors (52558172847).

101323321101 is a wasteful number, since it uses less digits than its factorization.

101323321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123242 (or 123216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101323321101 its reverse (101123323101), we get a palindrome (202446644202).

The spelling of 101323321101 in words is "one hundred one billion, three hundred twenty-three million, three hundred twenty-one thousand, one hundred one".